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Finding the Fourth Proportional to 85,847.70, 128,771.55 and 82,567.20

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Solution

The fourth proportional to 85,847.70, 128,771.55 and 82,567.20 is: 123,850.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,847.70 : 128,771.55 = 82,567.20 : x
  2. Step 2: Convert to fraction form
    85,847.70/128,771.55 = 82,567.20/x
  3. Step 3: Cross multiply
    85,847.70x = 128,771.55 × 82,567.20
  4. Step 4: Simplify right side
    85,847.70x = 10,632,306,323.16
  5. Step 5: Solve for x
    x = 10,632,306,323.16/85,847.70
  6. Step 6: Final answer
    x = 123,850.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.